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The Number of Permutations of N Different Things Taking R at a Time When 3 Particular Things Are to Be Included Isn − 3pr − 3,N − 3pr,Npr − 3,R ! N − 3cr − 3 - Mathematics

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प्रश्न

The number of permutations of n different things taking r at a time when 3 particular things are to be included is

विकल्प

  • n − 3Pr − 3

  •  n − 3Pr

  • nPr − 3

  • r ! n − 3Cr − 3

MCQ
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उत्तर

r ! n − 3Cr − 3

Here, we have to permute n things of which 3 things are to be included.
So, only the remaining (n - 3) things are left for permutation, taking (r - 3) things at a time. This is because 3 things have already been included.

But, these r things can be arranged in r! ways.
∴ Total number of permutations = r ! n − 3Cr − 3
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अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४६]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 1 | पृष्ठ ४६

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